数学模型

In this paper, the mathematic model of the 3D garment basic pattern is divided into geometry model and analytical model, the former decides the fundamental structure of garment basic pattern surface, but the latter presents the analytical expression.

考虑到服装设计的特殊性，文中将三维服装原型的数学模型区分为几何模型与解析模型两类，前者确定了服装原型曲面的基本结构，后者给出了解析表述。

Experimental synchronous rotor internal mixer and two kinds of 55L synchronous rotor internal mixer, consulted a number of published articles at home and abroad, then, for the first time, formed four kinds of physical model and the corresponding mathematical model which related to the mixed stock between the mixing chamber side and the top of the rotor wing, to the mixed stock between the two rotors and to the mixed stock at the various temperatures of the mixing chamber. And from the character of model, the author gave the relevant analytic solutions and finite element approximation arithmetic solutions during the experimental process of the synchronous rotor internal mixer.

因此，本文作者在XM—1.7实验用同步转子密炼机和两种50L同步转子密炼机上进行了大量的实验，并参阅国内外已发表的文献和资料，首次建立了同步转子密炼机混炼过程中，胶料在转子棱峰与密炼室壁之间、胶料在两同步转子之间和密炼室中混炼胶温度变化的四种物理模型及其相应的数学模型，并根据所建模型的特点，分别给出了相应的解析解或有限元数值解。

The soft-measuring technique is systemically described from the following aspects: auxiliary variable selection, data processing, soft-measuring model construction and model correction. Moreover, in order to solve the problem of measuring temperature of aluminum electrolytic cell, the importation electric power and blanking velocity are selected as auxiliary variable, then the temperature estimated value of the electrolytic cell is calculated. An autoregressive model with controlled item based on Modern Time Series Analysis method is established.

从辅助变量选择、数据处理、软测量模型建立和模型修正等方面系统地介绍了软测量技术；并针对铝电解槽温度高、腐蚀性强、温度难以直接测量的问题，选择电解槽的输入电功率和下料速度作为辅助变量，利用现代时间序列分析法建立了带受控项目的自回归数学模型，从而计算出电解槽的温度估计值。

Model of compressor、condenser、evaporator and capillary tube is upbuilded and connected on the basic of sequence of circle and holistic steady model is founded.

建立了压缩机、冷凝器、蒸发器、毛细管的数学模型，并将这些模型按照制冷循环系统的流程有机的连接起来，建立了整个系统的稳态参数模型。

Numerical simulating of the regulation was made. The mathematics model of water movement and the experience model of water absorbing were constructed for tomato, basing on the study on the characteristic of its root distribution. Movement of soil water was simulated, and the front of nitrogen was forecasted, using the piston flow model.

根据温室滴灌西红柿的实际情况，在对西红柿根系分布特征的田间试验分析的基础上，建立了滴灌西红柿水分运动数学模型和西红柿根系吸水经验模型，对田间土壤水分动态进行了模拟，运用简化的氮素运移活塞模型对土壤中氮素溶质锋面进行了预测。

This paper has put forward an activated sludge system modelbased on the simplified bio-reaction dynamics modeland the secondary clarifier model.

以简化的生物反应动力学模型和二沉池沉淀模型为基础，建立了普通活性污泥系统数学模型。

The research of this paper is began with the analysis the geographic spatial character of the UPTN, and designs the UPTN data mode based on GIS. Then, based on the good exhibiting all kinds of topology of the UPTN, and combined with the technology evaluation standards of the UPTN, this paper builds the UPTN planning mathematic model, and puts forward the quantitative calculation of the UPTN evaluation standards based on GIS; brings forward the arithmetic of the optimal path of the UPTN based on the public traffic network storage structure; designs the bus lines grouping management model, and realizes the contradistinctive evaluation of the UPTN planning projects based on GIS.

论文研究的重点内容是从分析城市公交网络中地理空间实体的特征开始，设计基于GIS的城市公交网络数据模型，在有效表现公交网络拓扑关系的基础上，根据公交线网技术评价指标，建立基于GIS的公交线网规划的数学模型，并给出公交线网评价指标的GIS量化计算方法；提出以公交线网数据存储结构为基础的公交网络最优路径算法；设计公交线路分组管理模型，实现公交线网规划方案对比分析。

To adopt some technology correlatively, for example, data processing, simulation technique, mathematical model and database etc.

有针对性地采用数据处理、仿真技术、数学模型、数据库等技术，通过建立过程机理模型，对材料科学中相关过程的数据分析、模型预测、优化设计等进行实现。

The thesis can be divided into five parts as follows: First, the structural characteristics of finned-pipe evaporator are analyzed. After selecting suitable microelement controller, the heat-transfer and mass-transfer processes are analyzed for every microelement under the conditions of dryness, wetness and frostiness. Based on previous equations, some parameters of frostiness are confirmed and the frost-growing model is set up under frost condition. Some hypotheses are postulated and with the help of the equation of mass-conservation, energy-conservation and momentum-conservation, the evaporation model which fits in the dynamic simulation is built, which set a solid foundation for system simulation. Second, the starting and stopping behaviors under disturbed condition are analyzed and calculated by using the dynamic concentrative parameter model, which gives some advice to better prescribe refrigeration system and set theoretic foundation for carrying out automatic control of refrigeration system. Third, the normal running process is analyzed and calculated by means of rational matching theory, which gives some advice on how to better understand the parameter change under steady state and the affection of inlet-parameter on evaporator. Fourth, the simulation software with dynamic characteristic is designed, which can be applied to calculate thernio-parameter of cryogen, air humidity and frost thickness under different initial and boundary conditions, and to carry out dynamic simulation under conditions of dryness, wetness and frostiness, at the same time, to achieve detection and simulation at any stage from starting to stopping.

本文的主要内容如下：1对翅片管蒸发器结构特点进行分析，选取适当的微元控制体，就干、湿和霜工况下对每个微元分别进行传热传质分析，基于经验关系式确定霜的有关参数，对于霜工况下的霜生长建立模型，经适当假设，运用质量守恒、能量守恒和动量守恒方程建立适合动态仿真的蒸发器数学模型，为系统仿真奠定基础； 2对蒸发在大扰动下的开、停机过程，运用动态集中参数模型进行分析和计算，为更好地描述制冷系统运行的全过程奠定基础，同时也为制冷系统实现自动控制提供一定的理论基础； 3对蒸发器正常运行过程，运用动态分布参数和参数间定量耦合的观点来分析和计算，为更好地了解稳态工况下各点参数的变化情况及各入口参数对蒸发器动态特性的影响即蒸发器性能对各参数变化的敏感性； 4编写翅片管蒸发器动态特性仿真计算程序，可以计算不同边界条件和初始条件下的制冷剂热力参数、空气温湿度和霜厚度分布场，实现对翅片管蒸发器在干、湿和霜工况下的动态仿真。

This paper introduces the basic theory to develop coalbed methane reservoir. It compares coalbed methane reservoir with conventional natural gas reservoir on geology and production characteristics, and explains the storage and migration mechanism in detail. And it also provides a set of new integrated mathematics, numerical model for the simulation of degasification process from coalbed seams. At last, it presents a significant computer software corresponding with the model.

为此，本文从煤层甲烷的开发基础入手，对煤层气藏与常规天然气藏储集特征和开采特征进行了综合对比分析研究；通过对煤层气藏的赋存、运移机理的深入研究，首次建立了一套完整的煤层甲烷运移的数学模型、数值模型，并研制开发了相应的计算机模拟模型，创造性地建立了一套煤层甲烷气藏开发动态评价和预测的理论和方法，对煤层气藏的开发具有重要的实际意义和重要的指导作用。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐